Question

If (m - 1)(1 - k) = 0, which of the following can be true?
I. m = 1
II. k = 1
III. m = k

• A. None
• B. II only
• C. III only
• D. I and II only
• E. I, II and III

Answer 1

Answer: (D)

I and II only

For m = 1,
$(1-1)(1-k)=0$
$0(1-k)=0$
$\Rightarrow 0=0$
m = 1 satisfies the following equation.
For k = 1,
$(m-1)(1-1)=0$
$(m-1)0=0$
$\Rightarrow 0=0$
k = 1 satisfies the following equation.
For m = k,
$(k-1)(1-k)\ne 0$
m = k is not satisfying the following equation.
So, the condition I and II only are true.